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Finding the Fourth Proportional to 206,102.06, 309,230.95 and 79,749.90

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Solution

The fourth proportional to 206,102.06, 309,230.95 and 79,749.90 is: 119,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,102.06 : 309,230.95 = 79,749.90 : x
  2. Step 2: Convert to fraction form
    206,102.06/309,230.95 = 79,749.90/x
  3. Step 3: Cross multiply
    206,102.06x = 309,230.95 × 79,749.90
  4. Step 4: Simplify right side
    206,102.06x = 24,661,137,339.41
  5. Step 5: Solve for x
    x = 24,661,137,339.41/206,102.06
  6. Step 6: Final answer
    x = 119,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.